{
  "abstract": "In this paper, we extend the notion of a removable subcategory to $n$-exact categories, and prove that an ideal quotient by a subcategory of projective-injectives inherits an $n$-exact structure from the original category if and only if the subcategory is removable. In the Frobenius case, the quotient remains Frobenius, and the stable $(n+2)$-angulated categories are equivalent. We give a sufficient condition for a subcategory of projective-injectives to be removable. We also show that the ideal quotient construction is compatible with cluster tilting. Finally, we apply the construction to $2$-cluster tilting subcategories of the category of ACM bundles on a Geigle--Lenzing projective plane, obtaining quotients for both natural and relative $2$-exact structures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16403",
  "author_total": 1,
  "authors": [
    {
      "name": "Weikang Weng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6ps79pk030ccq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16403",
  "fulltext_url": null,
  "id": "6ps79pk030ccq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16403",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7221796760",
  "pdf_url": "https://arxiv.org/pdf/2610.16403",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6ps79pk030ccq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16403",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16403"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Ideal quotients of $n$-exact categories",
  "title_text": "Ideal quotients of n-exact categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/6ps79pk030ccq",
  "venue": "arXiv",
  "versions": []
}